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Finding the Fourth Proportional to 8,511.44, 12,745.26 and 5,214.54

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Solution

The fourth proportional to 8,511.44, 12,745.26 and 5,214.54 is: 7,808.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.44 : 12,745.26 = 5,214.54 : x
  2. Step 2: Convert to fraction form
    8,511.44/12,745.26 = 5,214.54/x
  3. Step 3: Cross multiply
    8,511.44x = 12,745.26 × 5,214.54
  4. Step 4: Simplify right side
    8,511.44x = 66,460,668.08
  5. Step 5: Solve for x
    x = 66,460,668.08/8,511.44
  6. Step 6: Final answer
    x = 7,808.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.